Let the positive numbers \( a_{1}, a_{2}, a_{3}, a_{4} \) and \( a_... VIDEO
Let the positive numbers \( a_{1}, a_{2}, a_{3}, a_{4} \) and \( a_{5} \) be
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in a G.P. Let their mean and variance be \( \frac{31}{10} \) and
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\( \frac{m}{n} \) respectively, where \( m \) and \( n \) are co-prime. If the mean of their reciprocals is \( \frac{31}{40} \) and \( a_{3}+a_{4}+a_{5}=14 \), then \( m+n \) is equal to
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